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QUESTION: 1

Three friends A, B, C invested in a business in the ratio of 4:5:6. After 6 months C withdraw half of his capital. If the sum invested by A is 36000, then the profit earned by C out of the total profit of 60000.

Solution:

Answer – 2.30000 Explanation : sum invested by A = 4x = 36000.

X = 9000

Investment made by A, B , C – 36000, 45000, 54000 Ratio in which the profit will divide- 36000*12 : 45000*2 : 54000*6 + 27000*6 i.e 4:5:9. So C share = (9/18)*60000 = 30000

QUESTION: 2

Two persons A and B invested in a business with 115000 and 75000 rupees respectively. They agree that 40% of the profit should be divided equally among them and rest is divided between them according to their investment. If A got 500 rupee more than B, then the total profit is.

Solution:

Answer – 3.3958.34 Explanation : Ratio in which the profit will divide – 23:15. Let the profit be P now, [(23/38) – (15/38)]*(60/100)*P = 500 P = 3958.34

QUESTION: 3

P, Q, R invested in the ratio of 6:5:7. After the end of business term they receive the profit in the ratio 3:1:5. Find the ratio of time in which they invested in the business.

Solution:

Answer – 2.35:14:50 Explanation : Take time as t1, t2 and t3 (6*t1/5*t2) = 3/1, u will get t1/t2 = 5:2 Similarly, (5*t2/7*t3) = 1/5, u will get t2/t3 = 7/25

QUESTION: 4

Three persons enter into a partnership by investing in the ratio of 4:5:8. After one year A invest more 4300 and B withdraws 3200. Now, the ratio of investment changes to 5:4:7. Approximately how much A invested initially.

Solution:

Answer – 3.14755 Explanation : after one year – 4x+4300 : 5x-3200 : 8x so, to find X – (4x+4300)/(5x-3200) = 5/4 so investment made by A = (33200/9)*4 = 14755.55

QUESTION: 5

A and B invested rupees 4000 and 5000 respectively in a business. A being an active partner will get rupee 50 every month extra for running the business. In a year if A receive a total of 800 rupee, then what will B get from the business.

Solution:

Answer – 1.250 Explanation : Ratio in which the profit will divide – 4:5.

A will get 50*12 = 600 rupees extra, so from business A got 200 rupees. i.e (4/9)*P = 200, P = 450. So B will get 450 – 200 = 250 rupees

QUESTION: 6

A and B invested in a business in which A invest 250 rupee more than B. B invested for 6 months while A invested for 4 months. If A get 200 more than B out of a total profit of 1000. Then the total amount invested in the business.

Solution:

Answer – 2.650 Explanation : Let B invest ‘x’ rupees so A will invest (x+250) Total investment made by A = (x+250)*4 and by B = 6x According to the problem- [[4(x+250) – 6x]/(1000+ 10x)]*1000 = 200.

X = 200. Total investment = 200+250+200 = 650

QUESTION: 7

Three partners P, Q and R invest a total sum of 240000. At the end of the year A get 15000 rupee, B get 20000 and C get 25000 rupees as profit. How much amount is invested by A and C together.

Solution:

Answer – 3.16000 Explanation : Ratio in which they get profit – 3:4:5 So total amount invested by A and C = (8/12)*24000 = 16000

QUESTION: 8

A, B and C invested in a business with 40000, 50000 and 60000 rupees respectively. After one year A withdraw 10000 and C invest 5000. After another one year B invest 15000 more and A deposit 5000 more. At the end of 3 years, profit between A, B and C are distributed in the ratio.

Solution:

Answer – 2.21:33:38 Explanation : Investment made by A, B and C are 40000, 50000, 60000 initially.

In second year – 30000, 50000, 65000 In third year – 35000, 65000, 65000 So final ratio – 105000: 165000: 190000. i.e 21:33:38

QUESTION: 9

Two persons A and B invested in a business with capital 5000 and 6000 respectively. After 3 months both A and B invests 5000 more. After 3 more months C joins the business with a capital of 10000 rupees. The share of B exceeds C by how much, if the total profit earned is 47000.

Solution:

Answer – 3.9500 Explanation : A B C

5000 6000

After 3 months) 10000 11000 After 6 months) 10000 Ratio in which profit is distributed – 35:39:20 B exceed C by (19/94)*47000 = 9500

QUESTION: 10

Rahul got 5000 as his share out of the total profit of 9000. Ramesh had invested 3000 rupees for 6 months while rahul invested for the whole year. Find the amount invested by Rahul.

Solution:

Answer – 1.1875 Explanation : Amount invested by rahul = P 12P : 3000*6

P:1500

So Rahul share = [p/(1500+p)]*9000 = 5000 P = 75*25 = 1875

QUESTION: 11

2 friends – A and B invested in a business by investing Rs 4000 and Rs 6000 respectively. After 8 months, A added Rs 400 more and B withdrew Rs 400.What is the profit of B from a total profit of Rs 14,250 after the end of a year?

Solution:

D) Rs 8,360 Explanation: A : B

4000*8 + 4400*4 : 6000*8 + 5600*4

31 : 44

So B gets = (44/75) * 14,250

QUESTION: 12

2 friends – A and B invested in a business by investing Rs 10,000 and Rs 12,000 respectively. After 8 months, both took out Rs 2,000. What is the profit of B from a total profit of Rs 24,800 after the end of a year?

Solution:

A) Rs 13,600 Explanation: A : B

10000*8 + 8000*4 : 12000*8 + 10000*4

14 : 17

So B gets = (17/31) * 24,800

QUESTION: 13

3 partners started a business. A, B and C invested Rs 5000, Rs 6000 and Rs 7000 respectively. After 4 months all invested the same amount as before for another 4 months. And then each of them invested Rs 1000 more. If after a year a total profit of Rs 46,500 is made, what is the profit of C?

Solution:

D) Rs 18,000 Explanation: 5000*4 +10,000*4 + 11,000*4 : 6000*4 +12,000*4 + 13,000*4 : 7000*4

+14,000*4 + 15,000*4

26 : 31 : 36

So C gets = (36/93) * 46,500

QUESTION: 14

The investment of A is twice as that of B and thrice as that of C. B invested for twice the months than A and thrice the months than C. Who will earn the highest profit?

Solution:

E) None of these Explanation: If A invested Rs x, then B Rs (x/2) and C invests Rs (x/3).

Let B invested for y months, then A for (y/2)months, and C for (y/3) months So ratio of profit sharesA : B : C

x*(y/2) : (x/2)*(y) : (x/3)*(y/3) 1/2 : 1/2 : 1/9 = 9 : 9 : 2

Both A and B gets equal and highest profits.

QUESTION: 15

Out of the total investment, A invested 1/4th , B invested 1/3rd of the remaining and C the remaining. B earned Rs 10,000 after a year. Find the yearly profit of all.

Solution:

B) Rs 40,000 Explanation: Let total investment = Rs x Then A’s = (1/4)*x Remaining = 3/4th of x So B’s investment = (1/3)*(3x/4) = x/4 And C’s = x – (x/4 + x/4) = x/2 so ratio of profits = x/4 : x/4 : x/2 = 1 : 1 : 2 so 1/4 * x = 10,000 x = 40,000

QUESTION: 16

A and B invested Rs 20,000 and Rs 25,000 in a business for 1 year and 8 months respectively. A being a working partner earned 25/3% profit out of a total profit of Rs 60,000 and after this the profit was divided in the ratio of their investments. What is the share of B in the annual profit?

Solution:

E) Rs 25,000 Explanation: A’s share : B’s share 20,000*12 : 25,000*8

6 : 5

A got its salary as = [(25/3)/100] * 60,000 = 5000 Remaining profit = 60,000 – 5000 = 55,000 So B gets = 5/11 * 55000

QUESTION: 17

Out of a total profit of Rs 19,600, B received Rs 10,000 as his share. If A invested Rs 8,000 for 6 months while B invested his amount for 5 months, then what is the amount invested by B?

Solution:

D) Rs 10,000 Explanation: Profits ratio = 8000*6 : x*5 = 9600 : x So [x/(9600+x)] * 19,600 = 10,000 Solve, x = 10,000

QUESTION: 18

A, B and C received their profit shares in the raio 4 : 6 : 9 respectively. A and B received a total of Rs 60,000. What is the amount that C and A got together?

Solution:

D) Rs 78,000 Explanation: Their shares are 4x, 6x, 9x resp. 4x + 6x = 60,000 x = 6,000 So C got 9*6000 = 54,000 and A got 4*6000 = 24000 So total = 78,000

QUESTION: 19

A, B and C start a business and their investments are in the ratio 4 : 3 : 6. Both A and B starts the business and C joins them after 6 months. It was decided that C will get a monthly salary of Rs 500 from the annual profits. C’s total salary came out to be 10% of the annual profit after a year. What is the share of A in the total profits?

Solution:

C) Rs 10,800 Explanation: After a year C gets salary = 500*6 = Rs 3,000 [Since C was for 6 months in the business with each month earning 500] So 10% of total profit after a year = 3,000 Total profit = Rs 30,000 A invested for 12 months, B for 12, and C for 6 months Ratio of profit shares = 4*12 : 3*12 : 6*6 = 4 : 3 : 3

Profit left after deducting salary of C = 30,000 – 3,000 = 27,000 So share of A = [4/(4+3+3)] * 27,000

QUESTION: 20

A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ?

Solution:

Answer- C(Rs.400) Explanation : Ratio of investments =1/2 : 1/3 : 1/4 , LCM of 2, 3, 4 = 12 ,multiply ratios with 12 we get 6 : 4 : 3 , so,initial investment be 6x, 2x and 3x so, we can write: A : B :C =(6x X 2 + 3x X 10 ) : (4x X 12) :(3x X 12) = 7:8:6 B’s share= (8/21) x 1050 = 400

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